On the axiomatizability of priority (2006)
| Venue: | Proceedings of Automata, Languages and Programming, 33rd International Colloquium, ICALP 2006 |
| Citations: | 10 - 5 self |
BibTeX
@INPROCEEDINGS{Aceto06onthe,
author = {Luca Aceto and Taolue Chen and Wan Fokkink and Anna Ingolfsdottir},
title = {On the axiomatizability of priority},
booktitle = {Proceedings of Automata, Languages and Programming, 33rd International Colloquium, ICALP 2006},
year = {2006},
pages = {480--491},
publisher = {Springer}
}
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Abstract
Abstract. This paper studies the equational theory of bisimulation equivalence over the process algebra BCCSP extended with the priority operator of Baeten, Bergstra and Klop. It is proven that, in the presence of an infinite set of actions, bisimulation equivalence has no finite, sound, ground-complete equational axiomatization over that language. This negative result applies even if the syntax is extended with an arbitrary collection of auxiliary operators, and motivates the study of axiomatizations using conditional equations. In the presence of an infinite set of actions, it is shown that, in general, bisimulation equivalence has no finite, sound, ground-complete axiomatization consisting of conditional equations over BCCSP. Sufficient conditions on the priority structure over actions are identified that lead to a finite, ground-complete axiomatization of bisimulation equivalence using conditional equations. 1
